725.23 is what percent of 1203.83 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1203.83 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 1203.83, so we can write it down as 100%=1203.83.
4. We know, that x% equals 725.23 of the output value, so we can write it down as x%=725.23.
5. Now we have two simple equations:
1) 100%=1203.83
2) x%=725.23
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=1203.83/725.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 725.23 is what percent of 1203.83

100%/x%=1203.83/725.23
(100/x)*x=(1203.83/725.23)*x       - we multiply both sides of the equation by x
100=1.6599285743833*x       - we divide both sides of the equation by (1.6599285743833) to get x
100/1.6599285743833=x
60.243555983818=x
x=60.243555983818

now we have:
725.23 is 60.243555983818% of 1203.83